Home
Class 12
MATHS
sqrt(5){(sqrt(5)+1)^(50)-(sqrt(5)-1)^(50...

`sqrt(5){(sqrt(5)+1)^(50)-(sqrt(5)-1)^(50)}`

A

An irrational number

B

0

C

A natural number

D

A prime number

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-B)|34 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-C) Objective type question (More than one correct answer)|15 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Try Yourself|20 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

Similar Questions

Explore conceptually related problems

{(sqrt(2) +1)^(5) + (sqrt(2) -1)^(5)}=

sqrt(4sqrt(-5)-1)=

Evalute: (sqrt(3)+1)^(5) -(sqrt(3)-1)^(5)

(sqrt(5)-1)/(sqrt(5)+1)+(sqrt(5)+1)/(sqrt(5)-1)=a+b sqrt(5)

(sqrt(5)-1)/(sqrt(5)+1)+(sqrt(5)+1)/(sqrt(5)-1)

(sqrt(5)-1)/(sqrt(5)+1)+(sqrt(5)+1)/(sqrt(5)-1) =a+b sqrt(5) Then find the value of a and b

(1)/(sqrt(2)+sqrt(5)-sqrt(7))

Evaluate the following: (sqrt(3)+1)^(5)-(sqrt(3)-1)^(5)

(sqrt(6)+sqrt(5)+ 1/(sqrt(6)+sqrt(5)))^2

AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-A)
  1. In the expantion of (1+kx)^(4) the cofficient of x^(3) is 32, then th...

    Text Solution

    |

  2. In the expansion of (3+x/2)^(n) the coefficients of x^(7) and x^(8) ar...

    Text Solution

    |

  3. sqrt(5){(sqrt(5)+1)^(50)-(sqrt(5)-1)^(50)}

    Text Solution

    |

  4. In expansion of (x+a)^(5), T(2):T(3)=1:3, then x:a is equal to

    Text Solution

    |

  5. If the coefficient of x^7 in (ax^2+1/(bx))^11 is equal to the coeffici...

    Text Solution

    |

  6. The middle term in the expansioin of (1+x)^(2n) is

    Text Solution

    |

  7. Cofficient of x^(12) in the expansion of (1+x^(2))^50(x+1/x)^(-10)

    Text Solution

    |

  8. The number of terms in expansion of (x^(2)+18x+81)^(15) is

    Text Solution

    |

  9. The term independent of x in the expanion of (root(6)(x)-(2)/(root(3)(...

    Text Solution

    |

  10. The middle terms in the expansion of (1+x)^(2n+1) is (are)

    Text Solution

    |

  11. (1.003)^(4) is nearby equal to

    Text Solution

    |

  12. The nubmber of non - zeroes terns in the expansion of (1+sqrt(5))^(6)+...

    Text Solution

    |

  13. The number of non -zeroes terms in the expansion of (sqrt(7)+1)^(75)-(...

    Text Solution

    |

  14. The number of terms in the expansion if (a+b+c)^(12) is

    Text Solution

    |

  15. Two consecutive terms in the expansion of (3+2x)^74 have equal coeffic...

    Text Solution

    |

  16. If the coefficients of rth, (r+ 1)th and (r + 2)th terms in the expa...

    Text Solution

    |

  17. Cofficient of x^(3)y^(10)z^(7) in expansion of (xy+yz)^(10) is

    Text Solution

    |

  18. The ratio of coefficients x^(3) and x^(4) in the expansion of (1+x)^(1...

    Text Solution

    |

  19. Given positive integers rgt1,ngt2 and the cofficients of (3r)^(th ) an...

    Text Solution

    |

  20. Sum of all the digits of the coefficient of x^(5) in the expansion of ...

    Text Solution

    |